667428624 has 60 divisors (see below), whose sum is σ = 1884448956. Its totient is φ = 220502016.

The previous prime is 667428571. The next prime is 667428677. The reversal of 667428624 is 426824766.

It is an interprime number because it is at equal distance from previous prime (667428571) and next prime (667428677).

It can be written as a sum of positive squares in 2 ways, for example, as 211179024 + 456249600 = 14532^2 + 21360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 667428624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4237 + ... + 36780.

Almost surely, 2^667428624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667428624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942224478).

667428624 is an abundant number, since it is smaller than the sum of its proper divisors (1217020332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667428624 is a wasteful number, since it uses less digits than its factorization.

667428624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41144 (or 41135 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 667428624 is about 25834.6400013625. The cubic root of 667428624 is about 873.9131535418.

The spelling of 667428624 in words is "six hundred sixty-seven million, four hundred twenty-eight thousand, six hundred twenty-four".